广义Campanato空间中Marcinkiewicz积分的有界性  

ON THE BOUNDEDNESS OF MARCINKIEWICZ INTEGRAL IN THE GENERALIZED CAMPANATO SPACE

作　　者：阮民荣[1] 薛庆营[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《北京师范大学学报（自然科学版）》2000年第6期711-717,共7页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(19971010)

摘　　要：研究了Marcinkiewicz积分 μ( f)在广义Campamato空间Ep ,Φ的有界性 ,主要是以更弱的条件 ,从本质上改进和推广了韩永生在BMO上 ,邱司刚在Campanato空间上以及谭昌眉在广义Campanato空间上的有界性结论 .他们的要求都是在Ω连续且满足Lipα( 0 <α≤ 1)的条件 。The boundedness of Marcinkiewicz integral μ(f) in the generalized Campanato space E p,Φ is studied. The results are substantial improvements and extension of known results, including Han Yongsheng, Qiu Sigang and Tan Changmei. The continuous condition in their results of Ω is removed by a class of Dini condition.

关 键 词：广义Campanato空间 L^(q)-Dini条件 MARCINKIEWICZ积分 有界性 

分 类 号：O174.2[理学—数学]